We provide an effective estimate on the Betti numbers of the loop space of a compact manifold which admits a finite Grauert tube. It implies the polynomial estimate in \cite{Chen} after taking the radius of the tube to infinity.
Embolic volume and Betti numbers
Fermionic Dyson expansions and stochastic Duistermaat-Heckman localization on loop spaces
Betti numbers of nearly $G_2$ and nearly Kähler manifolds with Weyl curvature bounds
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